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VALIDATION OF A CONVOLUTION INTEGRAL FOR CONDUCTIVITY IMAGING

DOI:10.2528/pierl17011401 期刊:Progress In Electromagnetics Research Letters 出版年份:2017 更新时间:2025-09-04 15:30:14
摘要: Magnetic induction tomography has been under consideration for imaging electrical conductivity distributions within the human body. Multi-coil systems are most commonly employed for this task, requiring a numerical solution of Maxwell’s equations at each position of the coil array. An alternative uses a single coil placed near the conductive target while measuring coil self-impedance changes at a number of unique locations. Recently, a closed-form solution of Maxwell’s equations, in the form of a 3D convolution integral, was found for a single coil consisting of concentric circular loops that relates impedance change (loss) to an arbitrary conductivity. Its development required spatially uniform permittivity and permeability, yet showed quantitative agreement with experiment. Here, we provide a much more rigorous test of the convolution integral in experiments that allow large permittivity changes across coil dimensions. Loss is measured while the coil is placed at known positions relative to plastic columns of variable diameter which are ?lled with salt solutions of varying conductivity. In all cases, coil loss varies linearly with conductivity and with zero intercept. Quantitative agreement is observed only when column diameter is greater than or equal to coil diameter. Because of linearity, the convolution integral is useful for image reconstruction, though contrast could be either reduced or enhanced in those circumstances when relative permittivity change exceeds ~ 70.
作者: Joe R. Feldkamp,Stephen Quirk
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Investigating the validation of a convolution integral for conductivity imaging using a single-coil system in magnetic induction tomography.

The convolution integral provides a viable tool for tomographic reconstruction of electrical conductivity distributions, especially when column diameter is greater than or equal to coil diameter. However, contrast errors may arise in cases of extreme relative permittivity changes.

The study assumes spatially uniform permittivity and permeability, which may not hold in all practical scenarios. The convolution integral's accuracy is compromised when column diameter is less than coil diameter due to large permittivity changes across coil dimensions.

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